While connecting to a remote desktop, you can not see the remote computer screen in full screen. When you maximize the screen, it will maximize the window as a typical windows option.
1. Start -> Run
2. Type -> mstsc -> ok
3. On the Remote Desktop Connection popup, click on "Options >>"
4. Click on the "Display" tab.
5. In the "Remote Desktop size" section, drag the bar to the extreme right to see "Full screen".